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10
4
10
3
10
2
1
2
10
1
10
0
2
3
4
5
6
L-shell
Fig. 6.3.
Number density of the cold plasma versus L-shell is given by (6.77).
Curve 1 represents a model with the plasmapause at
L
pp
=4
.
9, and curve 2 is the
same but
L
pp
=4
.
4
sign of cos
θ
,wehave
=
(1 +
νr
)
1
/
2
ν
2
r
2
w
.
(1
−
w
2
)
2
and for
w
, we obtain
w
=(1+
νr
)
1
/
2
.
Substitution of
µ
(
w
)inLame coecients (6.35) yields
w
2
)
3
ν
4
(1 + 3
w
2
)
2
,
w
2
)
3
ν
2
h
ν
h
µ
h
ϕ
(1
−
h
ϕ
h
µ
h
ν
=
h
ϕ
=
(1
−
=
h
ν
=
.
Since
w
2
)
3
1+3
w
2
d
d
w
,
changing of the variable
µ
=
µ
(
w
) reduces (6.74) to
d
d
µ
=
1
µ
2
(1
−
d
e
1
d
w
=
ik
0
(1 + 3
w
2
)
ε
⊥
e
2
,
d
e
2
d
w
=
ik
0
ν
2
e
1
,
(6.79)
with conditions
w
0
)=0
.
(6.80)
Here
w
0
=(1+
νR
I
)
1
/
2
is the boundary between the ionosphere and at-
mosphere,
R
I
=
R
E
+
h
a
,
and
h
a
is the atmosphere thickness.
The boundary problem (6.79)-(6.80) at real
ν
has a complex spectrum of
resonance frequencies
ω
j
−
e
1
(
w
=
±
iγ
j
for a magnetic shell with the coordinate
ν
.The
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